
Here's the solution ~
Let's find the measure of hypotenuse first, by using Pythagoras theorem ;





Now, let's find the asked values ~



For Cos y :



As we can see that both sin x and Cos y have equal values, therefore The required relationships is equality.
I.e Sin x = Cos y
Hope it helps ~
The most likely number of cats = 21/37 x 8 = 4.54 ≈ 5 cats
The most likely number of dogs = 16/37 x 8 = 3.46 ≈ 3 dogs
The probability of that arrangement happening = 1/8^2 = 1/64 = 0.00156
Answer:diameter=9.92m
Step-by-step explanation:
Area=77.28
π=3.14
Area=π x (d/2)^2
77.28=3.14 x (d/2)^2
Divide both sides by 3.14
77.28/3.14=(3.14x(d/2)^2)/3.14
24.6=(d/2)^2
Take them square root of both sides we get
d/2=√(24.6)
d/2=4.96
d=4.96 x 2
d=9.92
He uses 5/8 tanks of gas in one week.
In 5 he will use, 5/8 *5 = 25/8 in 5 weeks
This can be simplified too:
3.125 tanks of gas
The answer is, 25/8 tanks of gas or 3.125 tanks of gas
Answer:
The given equation is NOT justified.
Step-by-step explanation:
Here, the given equation is
= 
Now, here Consider the left hand side and simplifying the left side by operating on the like terms,
⇒
= 
=
Here, Left side of equation ≠ Right side of the equation
Hence,
≠ 